Question

Which expression is equivalent to t2 – 36?

Answer 1

factor t2−36t2−36=(t+6)(t−6)

Answer:(t+6)(t−6)
Good luck mate :P

Answer 2

`t^2-36=(t+6)(t-6)`

Explanation:

the expression we have is:

`t^2-36`

which can be rewritten as:

`t^2-6^2`

this is because
`36=6^2`

the equation
`t^2-6^2` is known as a Difference of squares, because we have a substraction of two elements squared.

And in a general form a Difference of squares is equivalent to:

`a^2-b^2=(a+b)(a-b)`

so in this case we can write
`t^2-6^2` as:

`t^2-6^2=(t+6)(t-6)`

ang going back to the original expression
`t^2-36`, we have:

`t^2-36=(t+6)(t-6)`